No CrossRef data available.
Article contents
Generalizations of the Landau–Hadamard inequality and inequalities for quadratic polynomials of operators
Published online by Cambridge University Press: 14 November 2011
Synopsis
We give generalizations of the Landau–Hadamard inequality ‖u′‖2 ≦ K ‖u‖ ‖u″‖ replacing u” by the second-order differential expression u″ − (α + β)u′ + αβu (α, β ∈ ℂ). The new functional inequalities are then used to obtain similar inequalities for dissipative and skew-Hermitian operators.
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 102 , Issue 1-2 , 1986 , pp. 123 - 129
- Copyright
- Copyright © Royal Society of Edinburgh 1986